Some solutions for n=4
..0..0..0..1..0..0..0..1....0..0..0..1..2..3..2..0....0..1..0..2..1..3..0..3
..0..0..0..2..1..2..3..0....1..2..1..2..3..0..2..1....1..2..2..1..0..3..1..3
..1..3..1..3..1..0..3..1....3..3..1..3..0..2..3..1....3..3..0..1..3..1..0..0
..3..2..1..0..2..2..2..2....2..0..0..1..0..3..0..0....0..1..0..2..0..1..2..3
..3..0..2..3..1..3..0..1....1..3..2..0..2..0..1..2....0..2..1..1..1..3..2..0
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